The area of ??the label paper of this can is: 251.2 square centimeters.

The calculation process is as follows:

First of all, it is easy to know that the label paper of the can is located around the can, and there is no label paper on the upper and lower bottom surfaces of the can.

Therefore, find The area of ??the can's label paper can be converted into the side area of ??the cylinder;

The side area of ??the cylinder = bottom circumference × height = bottom diameter × π × height;

Because The length of the can is 10 cm and the height is 8 cm. Therefore, the side area of ??the cylinder = 10π × 8 = 10 × 3.14 × 8 = 251.2 (square centimeters);

That is : The area of ??the can's label paper is 251.2 square centimeters.

Extended information:

To make such a can, the iron sheet area required is: 408.2 square centimeters.

The calculation process is as follows:

It is easy to know that the area of ??iron sheet required to make the can is the surface area of ??the cylinder;

The surface area of ??the cylinder = side area 2 base areas;

The side area of ??the cylinder = base perimeter × height = base diameter × π × height;

The base area of ??the cylinder = (base radius)?× π?;

Therefore, the side area of ??the cylinder=10π×8=10×3.14×8=251.2 (square centimeters)

The bottom area of ??the cylinder=(10/2 )? × π = (5)? That is: the required iron sheet area is: 408.2 square centimeters.